On Watershed Cuts and Thinnings

  • Jean Cousty
  • Gilles Bertrand
  • Laurent Najman
  • Michel Couprie
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4992)


We recently introduced the watershed cuts, a notion of watershed in edge-weighted graphs. In this paper, we propose a new thinning paradigm to compute them. More precisely, we introduce a new transformation, called border thinning, that lowers the values of edges that match a simple local configuration until idempotence and prove the equivalence between the cuts obtained by this transformation and the watershed cuts of a map. We discuss the possibility of parallel algorithms based on this transformation and give a sequential implementation that runs in linear time whatever the range of the input map.


Linear Time Minimum Span Tree Catchment Basin Span Forest Minimum Span Tree Problem 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Jean Cousty
    • 1
  • Gilles Bertrand
    • 1
  • Laurent Najman
    • 1
  • Michel Couprie
    • 1
  1. 1.LABINFO-IGM, UMR CNRS 8049Université Paris-EstFrance

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